[PDF] Top 20 The spectral iterative method for Solving Fractional-Order Logistic ‎Equation

... classical logistic equation and it has been very popular in population dynamics so ...the fractional derivative operator on the logistic equation to obtain the fractional ... See full document

... Many phenomena in engineering physics, chemistry, and other sciences can be described very successfully by models that use mathematical tools of fractional calculus, i.e. the theory of derivatives and integrals of ... See full document

... variable-order fractional derivatives are also being utilized for numerical solution of several types of fractional differential equations which are actually the exten- sion of the classical ... See full document

... this equation with time fractional derivative of variable ...MIM equation which has first order temporal accuracy and first order spatial accuracy is developed in ...for solving ... See full document

... a power series referring to it as the exact solution to fractional logistic differential equation (FLDE). Subsequently Area et al. [24] claimed that West’s proposal is valid only when the order ... See full document

... years, fractional Calculus has gained attention due to its applications in various fields of science and technology [1- ...solve fractional differential equations different numerical and analytical methods ... See full document

... m = with the final time T = 2 are given. Also, in Figure 1 and Figure 2, comparison between the exact solution and the approximate solution at T = 0.5 with time step τ = 0.0025 , m = 3 and m = 5 , are presented, ... See full document

... for solving new generalized fractional order differential equations with linear functional argument is ...The spectral Tau method is extended to study this problem, where the ... See full document

... years, fractional differential equations (FDEs) have found applications in many problems in physics and engineering ...for solving nonlinear problems include the Adomian decomposition method (ADM) ... See full document

... decades, fractional differential equations have been paid an increasing attention as they are widely used to describe various complex phenomena in many fields such as the fluid flow, signal processing, control theory, ... See full document

... rule method is given in [2] and then this method is developed for computing the unique solution of restricted matrix equations How to cite this paper: Liu, ... See full document

... (NVIADE) method has comparable accuracy with the highly accurate AGE method of the Peaceman-Rachford (Tien and Chawla, 1989) variant as well as the IADE scheme using the Mitchell-Fairweather variant (Sahimi ... See full document

... space-time fractional telegraph Eq. (19) reduces to space fractional telegraph equation and the solution is same as obtained by Momani [27] using ADM, Odibat and Momani [37] using GDTM, Yildirim [4] ... See full document

... present method are compared with the modified homotopy perturbation method [22] by using fourth-order ...present method for this problem, we use estimated error kE(y N )k 2 in section ... See full document

... of iterative methods with higher convergence order (more than three) by the composition of Latus and some other different ...present iterative formulas defined by ...their order of convergence ... See full document

... where A is a general differential operator, f (r) is a known analytic function, B is a boundary operator, u is the unknown function, and Γ is the boundary of the domain Ω. The operator A can be generally divided into two ... See full document

... Pejman Darabi was born in Tehran-Iran in 1978. He received B.Sc and M.Sc degrees in ap- plied mathematics from Sabzevar Teacher Education University, science and research Branch, IAU to Tehran, respectively, and his Ph.D ... See full document

... Vries equation of fifth order (gfKdV) and seventh order (gsKdV) has various applications in Sciences and ...New Iterative Method (NIM) is being proposed to obtain the solution of several ... See full document

... in fractional derivative problem is still new in science and engineering ...have fractional order of derivative such as in biopotential recording and functional electrical ... See full document

... Fokker-Planck equation into a system of ordinary differential equations suggested in( [15], [16]) ...space fractional diffusion equations are solved numerically ...collocation method to discretize ... See full document